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Finding the Fourth Proportional to 2,721.78, 4,082.40 and 966.78

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Solution

The fourth proportional to 2,721.78, 4,082.40 and 966.78 is: 1,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.78 : 4,082.40 = 966.78 : x
  2. Step 2: Convert to fraction form
    2,721.78/4,082.40 = 966.78/x
  3. Step 3: Cross multiply
    2,721.78x = 4,082.40 × 966.78
  4. Step 4: Simplify right side
    2,721.78x = 3,946,782.67
  5. Step 5: Solve for x
    x = 3,946,782.67/2,721.78
  6. Step 6: Final answer
    x = 1,450.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.